Integral Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are s-Convex

Ling Chun, Feng Qi

College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China.
Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China.

DOI: 10.4236/am.2012.311232                

Abstract

In the paper, the authors find some new inequalities of Hermite-Hadamard type for functions whose third derivatives are s-convex and apply these inequalities to discover inequalities for special means.

Keywords

Integral Inequality; Hermite-Hadamard’s Integral Inequality; s-Convex Function; Derivative; Mean

Conflicts of Interest

The authors declare no conflicts of interest.

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